TSTP Solution File: GRP481-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:37:14 EDT 2022
% Result : Unsatisfiable 0.47s 1.11s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Mon Jun 13 09:48:18 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.47/1.11 *** allocated 10000 integers for termspace/termends
% 0.47/1.11 *** allocated 10000 integers for clauses
% 0.47/1.11 *** allocated 10000 integers for justifications
% 0.47/1.11 Bliksem 1.12
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Automatic Strategy Selection
% 0.47/1.11
% 0.47/1.11 Clauses:
% 0.47/1.11 [
% 0.47/1.11 [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.47/1.11 X, identity ) ) ), Y ), Z ) ],
% 0.47/1.11 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.47/1.11 identity ) ) ],
% 0.47/1.11 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.47/1.11 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.47/1.11 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.47/1.11 ] .
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.47/1.11 This is a pure equality problem
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Options Used:
% 0.47/1.11
% 0.47/1.11 useres = 1
% 0.47/1.11 useparamod = 1
% 0.47/1.11 useeqrefl = 1
% 0.47/1.11 useeqfact = 1
% 0.47/1.11 usefactor = 1
% 0.47/1.11 usesimpsplitting = 0
% 0.47/1.11 usesimpdemod = 5
% 0.47/1.11 usesimpres = 3
% 0.47/1.11
% 0.47/1.11 resimpinuse = 1000
% 0.47/1.11 resimpclauses = 20000
% 0.47/1.11 substype = eqrewr
% 0.47/1.11 backwardsubs = 1
% 0.47/1.11 selectoldest = 5
% 0.47/1.11
% 0.47/1.11 litorderings [0] = split
% 0.47/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.47/1.11
% 0.47/1.11 termordering = kbo
% 0.47/1.11
% 0.47/1.11 litapriori = 0
% 0.47/1.11 termapriori = 1
% 0.47/1.11 litaposteriori = 0
% 0.47/1.11 termaposteriori = 0
% 0.47/1.11 demodaposteriori = 0
% 0.47/1.11 ordereqreflfact = 0
% 0.47/1.11
% 0.47/1.11 litselect = negord
% 0.47/1.11
% 0.47/1.11 maxweight = 15
% 0.47/1.11 maxdepth = 30000
% 0.47/1.11 maxlength = 115
% 0.47/1.11 maxnrvars = 195
% 0.47/1.11 excuselevel = 1
% 0.47/1.11 increasemaxweight = 1
% 0.47/1.11
% 0.47/1.11 maxselected = 10000000
% 0.47/1.11 maxnrclauses = 10000000
% 0.47/1.11
% 0.47/1.11 showgenerated = 0
% 0.47/1.11 showkept = 0
% 0.47/1.11 showselected = 0
% 0.47/1.11 showdeleted = 0
% 0.47/1.11 showresimp = 1
% 0.47/1.11 showstatus = 2000
% 0.47/1.11
% 0.47/1.11 prologoutput = 1
% 0.47/1.11 nrgoals = 5000000
% 0.47/1.11 totalproof = 1
% 0.47/1.11
% 0.47/1.11 Symbols occurring in the translation:
% 0.47/1.11
% 0.47/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.47/1.11 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.47/1.11 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.47/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.47/1.11 identity [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.47/1.11 'double_divide' [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.47/1.11 multiply [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.47/1.11 inverse [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.47/1.11 a1 [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Starting Search:
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Bliksems!, er is een bewijs:
% 0.47/1.11 % SZS status Unsatisfiable
% 0.47/1.11 % SZS output start Refutation
% 0.47/1.11
% 0.47/1.11 clause( 0, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.47/1.11 X, identity ) ) ), Y ), Z ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.47/1.11 multiply( X, Y ) ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 9, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.47/1.11 ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 14, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) ), Y
% 0.47/1.11 ), X ) ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 17, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X )
% 0.47/1.11 ] )
% 0.47/1.11 .
% 0.47/1.11 clause( 27, [] )
% 0.47/1.11 .
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 % SZS output end Refutation
% 0.47/1.11 found a proof!
% 0.47/1.11
% 0.47/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.11
% 0.47/1.11 initialclauses(
% 0.47/1.11 [ clause( 29, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.47/1.11 X, identity ) ) ), Y ), Z ) ] )
% 0.47/1.11 , clause( 30, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.47/1.11 ), identity ) ) ] )
% 0.47/1.11 , clause( 31, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.47/1.11 , clause( 32, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.47/1.11 , clause( 33, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.47/1.11 ] ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 0, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.47/1.11 X, identity ) ) ), Y ), Z ) ] )
% 0.47/1.11 , clause( 29, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.47/1.11 X, identity ) ) ), Y ), Z ) ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.47/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 36, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.47/1.11 multiply( X, Y ) ) ] )
% 0.47/1.11 , clause( 30, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.47/1.11 ), identity ) ) ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.47/1.11 multiply( X, Y ) ) ] )
% 0.47/1.11 , clause( 36, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.47/1.11 multiply( X, Y ) ) ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.11 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 39, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , clause( 31, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , clause( 39, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 43, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 , clause( 32, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 , clause( 43, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.47/1.11 , clause( 33, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.47/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 51, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.47/1.11 )
% 0.47/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.47/1.11 multiply( X, Y ) ) ] )
% 0.47/1.11 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.47/1.11 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.47/1.11 , clause( 51, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.47/1.11 )
% 0.47/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.11 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 54, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.47/1.11 )
% 0.47/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.47/1.11 )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 57, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.47/1.11 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 , 0, clause( 54, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.47/1.11 ) ] )
% 0.47/1.11 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.11 :=( Y, inverse( X ) )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.47/1.11 , clause( 57, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 67, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), inverse( X ) ) )
% 0.47/1.11 , Y ), Z ) ] )
% 0.47/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), 'double_divide'(
% 0.47/1.11 X, identity ) ) ), Y ), Z ) ] )
% 0.47/1.11 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.11 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 73, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, inverse( T ) ) ), inverse( X ) ) ), Y ), Z ) ] )
% 0.47/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , 0, clause( 67, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.47/1.11 , 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, 'double_divide'( T, identity ) ) ), inverse( X ) ) )
% 0.47/1.11 , Y ), Z ) ] )
% 0.47/1.11 , 0, 13, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.11 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 75, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 identity ), inverse( X ) ) ), Y ), Z ) ] )
% 0.47/1.11 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 , 0, clause( 73, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.47/1.11 , 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 'double_divide'( T, inverse( T ) ) ), inverse( X ) ) ), Y ), Z ) ] )
% 0.47/1.11 , 0, 11, substitution( 0, [ :=( X, T )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.11 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 77, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 'double_divide'( Y, identity ) ), 'double_divide'( inverse( Z ), inverse(
% 0.47/1.11 X ) ) ), Y ), Z ) ] )
% 0.47/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , 0, clause( 75, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.47/1.11 , 'double_divide'( Y, identity ) ), 'double_divide'( 'double_divide'( Z,
% 0.47/1.11 identity ), inverse( X ) ) ), Y ), Z ) ] )
% 0.47/1.11 , 0, 9, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.11 :=( Y, Y ), :=( Z, Z )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 79, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.47/1.11 ] )
% 0.47/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , 0, clause( 77, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.47/1.11 , 'double_divide'( Y, identity ) ), 'double_divide'( inverse( Z ),
% 0.47/1.11 inverse( X ) ) ), Y ), Z ) ] )
% 0.47/1.11 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.47/1.11 :=( Y, Y ), :=( Z, Z )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 9, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.47/1.11 ] )
% 0.47/1.11 , clause( 79, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.47/1.11 ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.47/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 82, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.47/1.11 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.47/1.11 , 0, substitution( 0, [] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 83, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.47/1.11 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.47/1.11 , 0, clause( 82, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.47/1.11 , 0, 3, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 84, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.47/1.11 , clause( 83, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.47/1.11 , 0, substitution( 0, [] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.47/1.11 , clause( 84, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.47/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 86, [ =( Z, 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ) ) ]
% 0.47/1.11 )
% 0.47/1.11 , clause( 9, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X,
% 0.47/1.11 inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ), Z )
% 0.47/1.11 ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 90, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.47/1.11 inverse( X ), inverse( Y ) ), identity ), Y ) ) ] )
% 0.47/1.11 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 , 0, clause( 86, [ =( Z, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.47/1.11 X, inverse( Y ) ), 'double_divide'( inverse( Z ), inverse( X ) ) ), Y ) )
% 0.47/1.11 ] )
% 0.47/1.11 , 0, 9, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.47/1.11 :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 91, [ =( X, 'double_divide'( inverse( 'double_divide'( inverse( X )
% 0.47/1.11 , inverse( Y ) ) ), Y ) ) ] )
% 0.47/1.11 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.47/1.11 , 0, clause( 90, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.47/1.11 inverse( X ), inverse( Y ) ), identity ), Y ) ) ] )
% 0.47/1.11 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( inverse( X ), inverse( Y
% 0.47/1.11 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 92, [ =( X, 'double_divide'( multiply( inverse( Y ), inverse( X ) )
% 0.47/1.11 , Y ) ) ] )
% 0.47/1.11 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.47/1.11 )
% 0.47/1.11 , 0, clause( 91, [ =( X, 'double_divide'( inverse( 'double_divide'( inverse(
% 0.47/1.11 X ), inverse( Y ) ) ), Y ) ) ] )
% 0.47/1.11 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, inverse( X ) )] )
% 0.47/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 93, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) ), Y
% 0.47/1.11 ), X ) ] )
% 0.47/1.11 , clause( 92, [ =( X, 'double_divide'( multiply( inverse( Y ), inverse( X )
% 0.47/1.11 ), Y ) ) ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 14, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) ), Y
% 0.47/1.11 ), X ) ] )
% 0.47/1.11 , clause( 93, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) )
% 0.47/1.11 , Y ), X ) ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.11 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 95, [ =( Y, 'double_divide'( multiply( inverse( X ), inverse( Y ) )
% 0.47/1.11 , X ) ) ] )
% 0.47/1.11 , clause( 14, [ =( 'double_divide'( multiply( inverse( Y ), inverse( X ) )
% 0.47/1.11 , Y ), X ) ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 96, [ =( X, 'double_divide'( inverse( identity ), inverse( X ) ) )
% 0.47/1.11 ] )
% 0.47/1.11 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.47/1.11 , 0, clause( 95, [ =( Y, 'double_divide'( multiply( inverse( X ), inverse(
% 0.47/1.11 Y ) ), X ) ) ] )
% 0.47/1.11 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.47/1.11 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 97, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X )
% 0.47/1.11 ] )
% 0.47/1.11 , clause( 96, [ =( X, 'double_divide'( inverse( identity ), inverse( X ) )
% 0.47/1.11 ) ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 17, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X )
% 0.47/1.11 ] )
% 0.47/1.11 , clause( 97, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X
% 0.47/1.11 ) ] )
% 0.47/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 eqswap(
% 0.47/1.11 clause( 98, [ =( X, 'double_divide'( inverse( identity ), inverse( X ) ) )
% 0.47/1.11 ] )
% 0.47/1.11 , clause( 17, [ =( 'double_divide'( inverse( identity ), inverse( X ) ), X
% 0.47/1.11 ) ] )
% 0.47/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 paramod(
% 0.47/1.11 clause( 101, [ =( inverse( identity ), identity ) ] )
% 0.47/1.11 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.47/1.11 , 0, clause( 98, [ =( X, 'double_divide'( inverse( identity ), inverse( X )
% 0.47/1.11 ) ) ] )
% 0.47/1.11 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.47/1.11 , [ :=( X, inverse( identity ) )] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 resolution(
% 0.47/1.11 clause( 102, [] )
% 0.47/1.11 , clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.47/1.11 , 0, clause( 101, [ =( inverse( identity ), identity ) ] )
% 0.47/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 subsumption(
% 0.47/1.11 clause( 27, [] )
% 0.47/1.11 , clause( 102, [] )
% 0.47/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 end.
% 0.47/1.11
% 0.47/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.11
% 0.47/1.11 Memory use:
% 0.47/1.11
% 0.47/1.11 space for terms: 390
% 0.47/1.11 space for clauses: 3294
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 clauses generated: 62
% 0.47/1.11 clauses kept: 28
% 0.47/1.11 clauses selected: 11
% 0.47/1.11 clauses deleted: 2
% 0.47/1.11 clauses inuse deleted: 0
% 0.47/1.11
% 0.47/1.11 subsentry: 222
% 0.47/1.11 literals s-matched: 80
% 0.47/1.11 literals matched: 80
% 0.47/1.11 full subsumption: 0
% 0.47/1.11
% 0.47/1.11 checksum: 312500560
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 Bliksem ended
%------------------------------------------------------------------------------